Question 1

Determine whether the statement is true or false.
-Some rational numbers are irrational.

Accepted Answer

A) True 
 B)False

Question 2

Express the value in scientific notation.
-$\left( 4 \times 10 ^ { - 3 } \right) \left( 1.2 \times 10 ^ { 6 } \right)$

Accepted Answer

A)  $4.8 \times 10 ^ { - 18 }$ 
B)  $48 \times 10 ^ { 3 }$ 
C)  $4.8 \times 10 ^ { 4 }$ 
D)  $4.8 \times 10 ^ { 3 }$ 
A)  $4.8 \times 10 ^ { - 18 }$ 
B)  $48 \times 10 ^ { 3 }$ 
C)  $4.8 \times 10 ^ { 4 }$ 
D)  $4.8 \times 10 ^ { 3 }$

Question 3

Solve the problem.
-List the elements of S that are real numbers.

Accepted Answer

A) {-5, 0, 3} 
B)  $\left\{ - 5.27 , - 5,0 , \frac { 1 } { 3 } , \frac { 4 } { 7 } , \frac { 107 } { 121 } , \sqrt { 3 } , 3 , \sqrt { 12 } \right\}$ 
C)  $\{ \sqrt { 3 } , \sqrt { 12 } \}$ 
D)  $\left\{ - 5.27 , - 5,0 , \frac { 1 } { 3 } , \frac { 4 } { 7 } , \frac { 107 } { 121 } , 3 \right\}$ 
A) {-5, 0, 3} 
B)  $\left\{ - 5.27 , - 5,0 , \frac { 1 } { 3 } , \frac { 4 } { 7 } , \frac { 107 } { 121 } , \sqrt { 3 } , 3 , \sqrt { 12 } \right\}$ 
C)  $\{ \sqrt { 3 } , \sqrt { 12 } \}$ 
D)  $\left\{ - 5.27 , - 5,0 , \frac { 1 } { 3 } , \frac { 4 } { 7 } , \frac { 107 } { 121 } , 3 \right\}$

Question 4

Evaluate.
-7 - 10

Accepted Answer

A) 3 
B) -3 
C) -17 
D) 17 
A) 3 
B) -3 
C) -17 
D) 17

Question 5

Solve the problem.
-The temperature at 5:00 was -4° C. Four hours later, it was -9° C. What was the change in temperature?

Accepted Answer

A) -13° C 
B) 5° C 
C) -5° C 
D) 13° C 
A) -13° C 
B) 5° C 
C) -5° C 
D) 13° C

Question 6

Evaluate the expression.
-$5 ( \sqrt [ 3 ] { 8 } + \sqrt [ 4 ] { 256 } ) \div \frac { \sqrt { 100 } } { 6 }$

Accepted Answer

A) 21 
B) 6 
C) 60 
D) 18 
A) 21 
B) 6 
C) 60 
D) 18

Question 7

Solve the problem.
-Trader Tower stands at 2616 feet high. Exchange Emporium is 898 feet tall. How much taller is Trader Tower than Exchange Emporium?

Accepted Answer

A) 3514 feet 
B) -1718 feet 
C) -3514 feet 
D) 1718 feet 
A) 3514 feet 
B) -1718 feet 
C) -3514 feet 
D) 1718 feet

Question 8

Express the number in scientific notation.
-0.000672

Accepted Answer

A)  $6.72 \times 10 ^ { 5 }$ 
B)  $6.72 \times 10 ^ { 4 }$ 
C)  $6.72 \times 10 ^ { - 5 }$ 
D)  $6.72 \times 10 ^ { - 4 }$ 
A)  $6.72 \times 10 ^ { 5 }$ 
B)  $6.72 \times 10 ^ { 4 }$ 
C)  $6.72 \times 10 ^ { - 5 }$ 
D)  $6.72 \times 10 ^ { - 4 }$

Question 9

Name the property illustrated by the statement.
-(1 + 5)+ 6 = (5 + 1)+ 6

Accepted Answer

A) distributive property 
B) commutative property of addition 
C) associative property of addition 
D) inverse property of addition 
A) distributive property 
B) commutative property of addition 
C) associative property of addition 
D) inverse property of addition

Question 10

Evaluate.
-$- | 4 | + | 2 |$

Accepted Answer

A) -2 
B) 6 
C) -6 
D) 2 
A) -2 
B) 6 
C) -6 
D) 2

Question 11

Express in set builder notation the set of numbers indicated on the number line.
-

Accepted Answer

A) $\{ x \mid x \geq - 6 \}$ B) $\{ x \mid x > - 6 \}$ C) $\{ x \mid x < - 6 \}$ D) $\{ x \mid x \leq - 6 \}$ A) $\{ x \mid x \geq - 6 \}$ B) $\{ x \mid x > - 6 \}$ C) $\{ x \mid x < - 6 \}$ D) $\{ x \mid x \leq - 6 \}$

Question 12

Evaluate the expression.
-$9 \cdot 18 + 4 \cdot 13$

Accepted Answer

A) 214 
B) 630 
C) 2574 
D) 2158 
A) 214 
B) 630 
C) 2574 
D) 2158

Question 13

Simplify the expression and write the answer without negative exponents.
-$\frac { 1 } { m ^ { - 7 } }$

Accepted Answer

A)  $- \mathrm { m } ^ { 1 / 7 }$ 
B)  $- \mathrm { m } ^ { 7 }$ 
C)  $\mathrm { m } ^ { 1 / 7 }$ 
D)  $\mathrm { m } ^ { 7 }$ 
A)  $- \mathrm { m } ^ { 1 / 7 }$ 
B)  $- \mathrm { m } ^ { 7 }$ 
C)  $\mathrm { m } ^ { 1 / 7 }$ 
D)  $\mathrm { m } ^ { 7 }$

Question 14

Evaluate the expression for the given value or values.
-$12 ( x + 3 ) ^ { 2 } - 21 ( x + 3 ) \text { when } x = - 4$

Accepted Answer

A) 13 
B) 33 
C) -9 
D) 22 
A) 13 
B) 33 
C) -9 
D) 22

Question 15

Evaluate.
-$\frac { 1 } { 6 } + \left( - \frac { 1 } { 6 } \right)$

Accepted Answer

A)  $\frac { 2 } { 3 }$ 
B) 0 
C)  $- \frac { 1 } { 3 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  $\frac { 2 } { 3 }$ 
B) 0 
C)  $- \frac { 1 } { 3 }$ 
D)  $\frac { 1 } { 3 }$

Question 16

List the set in roster form.
-$S = \{ x \mid x \text { is an even integer greater than } 30 \text { and less than or equal to } 36 \}$

Accepted Answer

A) {32, 34, 36} 
B) {31, 32, 33, 34, 35, 36} 
C) {30, 31, 32, 33, 34, 35, 36} 
D) {30, 32, 34, 36} 
A) {32, 34, 36} 
B) {31, 32, 33, 34, 35, 36} 
C) {30, 31, 32, 33, 34, 35, 36} 
D) {30, 32, 34, 36}

Question 17

Evaluate.
-$\left( \frac { 14 } { 3 } \right) ( - 6 )$

Accepted Answer

A) 10 
B)  $- \frac { 20 } { 3 }$ 
C) 42 
D) - 28 
A) 10 
B)  $- \frac { 20 } { 3 }$ 
C) 42 
D) - 28

Question 18

Evaluate the expression.
-$( 3 a + 3 b ) ^ { 0 }$

Accepted Answer

A) 3 
B) 1 
C) 0 
D) 3a + 3b 
A) 3 
B) 1 
C) 0 
D) 3a + 3b

Question 19

Solve the problem.
-Lauren scored 12 points in her basketball game on Monday, 15 on Wednesday, 5 on Friday, and 2 on Saturday. Find her total points scored for the week.

Accepted Answer

A) 32 points 
B) 33 points 
C) 34 points 
D) 35 points 
A) 32 points 
B) 33 points 
C) 34 points 
D) 35 points

Question 20

$$\mathbf { Insert  , or =  in~ the ~blank~ to~ make ~the ~statement~ true. }$$
-$| - 10 |$________$| - 4 |$

Accepted Answer

A) = B) $>$ C) $<$ A) = B) $>$ C) $<$

Determine whether the statement is true or false. -Some rational numbers are irrational.

Express the value in scientific notation. - $\left( 4 \times 10 ^ { - 3 } \right) \left( 1.2 \times 10 ^ { 6 } \right)$

Solve the problem. -List the elements of S that are real numbers.

Evaluate. -7 - 10

Solve the problem. -The temperature at 5:00 was -4° C. Four hours later, it was -9° C. What was the change in temperature?

Evaluate the expression. - $5 ( \sqrt [ 3 ] { 8 } + \sqrt [ 4 ] { 256 } ) \div \frac { \sqrt { 100 } } { 6 }$

Solve the problem. -Trader Tower stands at 2616 feet high. Exchange Emporium is 898 feet tall. How much taller is Trader Tower than Exchange Emporium?

Express the number in scientific notation. -0.000672

Name the property illustrated by the statement. -(1 + 5)+ 6 = (5 + 1)+ 6

Evaluate. - $- | 4 | + | 2 |$

Express in set builder notation the set of numbers indicated on the number line. -

Evaluate the expression. - $9 \cdot 18 + 4 \cdot 13$

Simplify the expression and write the answer without negative exponents. - $\frac { 1 } { m ^ { - 7 } }$

Evaluate the expression for the given value or values. - $12 ( x + 3 ) ^ { 2 } - 21 ( x + 3 ) \text { when } x = - 4$

Evaluate. - $\frac { 1 } { 6 } + \left( - \frac { 1 } { 6 } \right)$

List the set in roster form. - $S = \{ x \mid x \text { is an even integer greater than } 30 \text { and less than or equal to } 36 \}$

Evaluate. - $\left( \frac { 14 } { 3 } \right) ( - 6 )$

Evaluate the expression. - $( 3 a + 3 b ) ^ { 0 }$

Solve the problem. -Lauren scored 12 points in her basketball game on Monday, 15 on Wednesday, 5 on Friday, and 2 on Saturday. Find her total points scored for the week.

$\mathbf { Insert < , > , or = in~ the ~blank~ to~ make ~the ~statement~ true. }$ - $| - 10 |$ ________ $| - 4 |$

Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions and Equations

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Characteristics of Functions and Their Graphs

Conic Sections

Sequences, Series, and Probability

Filters

Exam 1: Basic Concepts